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What is the relationship between the price of bond and its

Question: Bond prices verus Yields

a) What is the relationship between the price of bond and its YTM?

b) Explain why some bonds sell at a premium over par value while other bonds sell at a discount. What do you know about the relationship between the coupon rate and the YTM for premium bonds? what about for the discount bonds? for bonds selling at par value?

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